EMIS ELibM Electronic Journals Publications de l’Institut Mathématique, Nouvelle Série
Vol. 101[115], pp. 11–24 (2017)

Previous Article

Next Article

Contents of this Issue

Other Issues

ELibM Journals

ELibM Home

EMIS Home

Pick a mirror

 		 

L’HÔPITAL’S MONOTONE RULE, GROMOV’S THEOREM, AND OPERATIONS THAT PRESERVE THE MONOTONICITY OF QUOTIENTS

Ricardo Estrada, Miroslav Pavlović

Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803, U.S.A; University of Belgrade, Faculty of Mathematics, Belgrade, Serbia

Abstract: We study several operators T that when applied to both the numerator and denominator of an increasing, or decreasing, function u/v produce another increasing, or decreasing, function T(u)/T(v). We also give new proofs of the monotone form of L’Hôpital’s rule and of Gromov’s theorem.

Keywords: Monotonicity; L’Hôpital’s monotone rule; Gromov’s theorem

Classification (MSC2000): 26A48;26D10

Full text of the article: (for faster download, first choose a mirror)

Electronic fulltext finalized on: 24 Apr 2017. This page was last modified: 11 May 2017.

© 2017 Mathematical Institute of the Serbian Academy of Science and Arts
© 2017 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition